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bc6dd76e 1/* Complex exponential function. m68k fpu version
04277e02 2 Copyright (C) 1997-2019 Free Software Foundation, Inc.
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3 This file is part of the GNU C Library.
4 Contributed by Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>
5
6 The GNU C Library is free software; you can redistribute it and/or
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7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
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10
11 The GNU C Library is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
3214b89b 14 Lesser General Public License for more details.
bc6dd76e 15
3214b89b 16 You should have received a copy of the GNU Lesser General Public
ab84e3ff 17 License along with the GNU C Library. If not, see
5a82c748 18 <https://www.gnu.org/licenses/>. */
bc6dd76e 19
2f6ba762 20#include <float.h>
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21#include <complex.h>
22#include <math.h>
5da9d124 23#include "mathimpl.h"
bc6dd76e 24
bc6dd76e 25#define CONCATX(a,b) __CONCAT(a,b)
feb62dda 26#define s(name) M_SUF (name)
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27#define m81(func) __m81_u(s(func))
28
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29CFLOAT
30s(__cexp) (CFLOAT x)
bc6dd76e 31{
feb62dda 32 CFLOAT retval;
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33 unsigned long ix_cond;
34
35 ix_cond = __m81_test (__imag__ x);
bc6dd76e 36
e7af313d 37 if ((ix_cond & (__M81_COND_NAN|__M81_COND_INF)) == 0)
bc6dd76e 38 {
e7af313d 39 /* Imaginary part is finite. */
2f6ba762 40 unsigned long rx_cond = __m81_test (__real__ x);
e7af313d 41
2f6ba762 42 if ((rx_cond & (__M81_COND_NAN|__M81_COND_INF)) == 0)
bc6dd76e 43 {
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44 const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
45 long double sin_ix, cos_ix, exp_val;
46
47 __m81_u (__sincosl) (__imag__ x, &sin_ix, &cos_ix);
48
49 if (__real__ x > t)
50 {
51 long double exp_t = __m81_u(__ieee754_expl) (t);
52 __real__ x -= t;
53 sin_ix *= exp_t;
54 cos_ix *= exp_t;
55 if (__real__ x > t)
56 {
57 __real__ x -= t;
58 sin_ix *= exp_t;
59 cos_ix *= exp_t;
60 }
61 }
62
63 exp_val = __m81_u(__ieee754_expl) (__real__ x);
64 __real__ retval = exp_val * cos_ix;
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65 if (ix_cond & __M81_COND_ZERO)
66 __imag__ retval = __imag__ x;
67 else
2f6ba762 68 __imag__ retval = exp_val * sin_ix;
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69 }
70 else
71 {
72 /* Compute the sign of the result. */
2f6ba762 73 long double remainder, pi_2;
e7af313d 74 int quadrant;
bc6dd76e 75
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76 if ((rx_cond & (__M81_COND_NAN|__M81_COND_NEG)) == __M81_COND_NEG)
77 __real__ retval = __imag__ retval = 0.0;
78 else
79 __real__ retval = __imag__ retval = __real__ x;
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80 __asm ("fmovecr %#0,%0\n\tfscale%.w %#-1,%0" : "=f" (pi_2));
81 __asm ("fmod%.x %2,%0\n\tfmove%.l %/fpsr,%1"
82 : "=f" (remainder), "=dm" (quadrant)
83 : "f" (pi_2), "0" (__imag__ x));
84 quadrant = (quadrant >> 16) & 0x83;
85 if (quadrant & 0x80)
86 quadrant ^= 0x83;
87 switch (quadrant)
45b0751e 88 {
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89 default:
90 break;
91 case 1:
92 __real__ retval = -__real__ retval;
93 break;
94 case 2:
95 __real__ retval = -__real__ retval;
e0cb7b61 96 /* Fall through. */
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97 case 3:
98 __imag__ retval = -__imag__ retval;
99 break;
45b0751e 100 }
2f6ba762 101 if (ix_cond & __M81_COND_ZERO && (rx_cond & __M81_COND_NAN) == 0)
e7af313d 102 __imag__ retval = __imag__ x;
bc6dd76e 103 }
bc6dd76e 104 }
e7af313d 105 else
bc6dd76e 106 {
e7af313d 107 unsigned long rx_cond = __m81_test (__real__ x);
45b0751e 108
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109 if (rx_cond & __M81_COND_INF)
110 {
111 /* Real part is infinite. */
112 if (rx_cond & __M81_COND_NEG)
45b0751e 113 {
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114 __real__ retval = __imag__ retval = 0.0;
115 if (ix_cond & __M81_COND_NEG)
116 __imag__ retval = -__imag__ retval;
45b0751e 117 }
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118 else
119 {
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120 __real__ retval = __real__ x;
121 __imag__ retval = __imag__ x - __imag__ x;
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122 }
123 }
bc6dd76e 124 else
e7af313d 125 __real__ retval = __imag__ retval = __imag__ x - __imag__ x;
bc6dd76e 126 }
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127
128 return retval;
129}
faec6323 130declare_mgen_alias (__cexp, cexp)